Question

cho phân số a/b CMRa-x/b-y = a/b thì x/y = a/b

Answer 1

tham khảo 

https://hoidap247.com/cau-hoi/1604273

Answer 2

Theo đề ta có:

a-x/b-y=a/b\(\Rightarrow\)(a-x)b=(b-y)a\(\Rightarrow\)ab-bx=ba-ya

\(\Rightarrow\)xb=ya\(\Rightarrow\)x/y=a/b(ĐPCM)

Chúc bạn học tốt

Answer 3

Ta có: \(\dfrac{a-x}{b-y}=\dfrac{a}{b}\)

\(\Leftrightarrow a\left(b-y\right)=b\left(a-x\right)\)

\(\Leftrightarrow ab-ay=ab-bx\)

\(\Leftrightarrow-ay=-bx\)

\(\Leftrightarrow bx=ay\)

hay \(\dfrac{x}{y}=\dfrac{a}{b}\)(đpcm)